On the modelling of stability problems for thin plates with functionally graded structure

A conjunction of local apparent properties with a global design of structural elements is motivation for applying composites, which have space varying effective properties. This contribution deals with analysis of dynamics and stability problems for thin composite plates with a smooth and a slow gradation of macroscopic properties. The formulation of two mathematical models of these plates, based on a tolerance averaging technique, cf. Woźniak et al. [18], is the aim of the paper. The general results are applied to the analysis of some special problems.